Is it possible to rotate and move a face in one simultaneous motion?
I strongly recommend user253751 suggestion. You should build this with a curve instead. You can do this in many different ways, but probably the best for you is using the curve's own extrusion properties. here is a little info on how to make curves 3D, but there's more in the curve editing chapter as a whole, which I recommend reading from beginning to end. Hope this helps!